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Far from being separate entities, many social and engineering
systems can be considered as complex network systems (CNSs)
associated with closely linked interactions with neighbouring
entities such as the Internet and power grids. Roughly speaking, a
CNS refers to a networking system consisting of lots of
interactional individuals, exhibiting fascinating collective
behaviour that cannot always be anticipated from the inherent
properties of the individuals themselves. As one of the most
fundamental examples of cooperative behaviour, consensus within
CNSs (or the synchronization of complex networks) has gained
considerable attention from various fields of research, including
systems science, control theory and electrical engineering. This
book mainly studies consensus of CNSs with dynamics topologies -
unlike most existing books that have focused on consensus control
and analysis for CNSs under a fixed topology. As most practical
networks have limited communication ability, switching graphs can
be used to characterize real-world communication topologies,
leading to a wider range of practical applications. This book
provides some novel multiple Lyapunov functions (MLFs), good
candidates for analysing the consensus of CNSs with directed
switching topologies, while each chapter provides detailed
theoretical analyses according to the stability theory of switched
systems. Moreover, numerical simulations are provided to validate
the theoretical results. Both professional researchers and
laypeople will benefit from this book.
Far from being separate entities, many social and engineering
systems can be considered as complex network systems (CNSs)
associated with closely linked interactions with neighbouring
entities such as the Internet and power grids. Roughly speaking, a
CNS refers to a networking system consisting of lots of
interactional individuals, exhibiting fascinating collective
behaviour that cannot always be anticipated from the inherent
properties of the individuals themselves. As one of the most
fundamental examples of cooperative behaviour, consensus within
CNSs (or the synchronization of complex networks) has gained
considerable attention from various fields of research, including
systems science, control theory and electrical engineering. This
book mainly studies consensus of CNSs with dynamics topologies -
unlike most existing books that have focused on consensus control
and analysis for CNSs under a fixed topology. As most practical
networks have limited communication ability, switching graphs can
be used to characterize real-world communication topologies,
leading to a wider range of practical applications. This book
provides some novel multiple Lyapunov functions (MLFs), good
candidates for analysing the consensus of CNSs with directed
switching topologies, while each chapter provides detailed
theoretical analyses according to the stability theory of switched
systems. Moreover, numerical simulations are provided to validate
the theoretical results. Both professional researchers and
laypeople will benefit from this book.
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